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Finding the Fourth Proportional to 24,315, 36,472.50 and 5,847

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Solution

The fourth proportional to 24,315, 36,472.50 and 5,847 is: 8,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315 : 36,472.50 = 5,847 : x
  2. Step 2: Convert to fraction form
    24,315/36,472.50 = 5,847/x
  3. Step 3: Cross multiply
    24,315x = 36,472.50 × 5,847
  4. Step 4: Simplify right side
    24,315x = 213,254,707.50
  5. Step 5: Solve for x
    x = 213,254,707.50/24,315
  6. Step 6: Final answer
    x = 8,770.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.